Answer: x=18
im assuming that this is a right angle
so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.
so x=18
 
        
             
        
        
        
Answer:
Her opportunity cost of reading 10 pages of sociology is 15 pages of Economics
Her opportunity cost of reading 18 pages of economics is 12 pages of sociology. 
Step-by-step explanation:
For economics, Latasha reads 1 page in 2 mins (gotten by dividing the number of pages by the time taken to read it i.e 30 pages in 1 hr or 60 mins)
Her sociology is read 1 page in 3 mins (20 pages read in 60 mins)
To read 10 pages of sociology will take 30 mins. She will read 15 pages of Economics in the same time which is the opportunity cost.
In the same vein, It will take her 36 mins to read 18 pages of Economics at the same rate. This is the opportunity cost of reading 12 pages of Sociology (which she reads at 1 page in 3 mins). 
 
        
             
        
        
        
The slope of a line that is perpendicular to a line whose equation is −2y = 3x + 7 is 
<em><u>Solution:</u></em>
Given that we have to find the slope of the line that is perpendicular to a line whose equation is −2y = 3x + 7
<em><u>The slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
<em><u>Given equation is:</u></em>

On comparing the above equation with slope intercept form,

We know that product of slope of a line and slope of line perpendicular to it is -1
Therefore,

Thus slope of line that is perpendicular to given line is 
 
        
             
        
        
        
P= -25/4 and that would be the answer to your question ( and now I'm sure I passed 20 characters)
 
        
             
        
        
        
Answer:
1
3
7
Step-by-step explanation:
if they were numbered top to bottom the answer would be 1,3,7